2800713183840 has 1152 divisors, whose sum is σ = 11630528985600. Its totient is φ = 623974440960.

The previous prime is 2800713183839. The next prime is 2800713183847. The reversal of 2800713183840 is 483813170082.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800713183847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2224553131 + ... + 2224554389.

It is an arithmetic number, because the mean of its divisors is an integer number (10095945300).

Almost surely, 2^{2800713183840} is an apocalyptic number.

2800713183840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800713183840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815264492800).

2800713183840 is an abundant number, since it is smaller than the sum of its proper divisors (8829815801760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2800713183840 is a wasteful number, since it uses less digits than its factorization.

2800713183840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2800713183840 in words is "two trillion, eight hundred billion, seven hundred thirteen million, one hundred eighty-three thousand, eight hundred forty".